Two students wrote the following numerical expressions.
Angeline: (7 + 15) × (38 + 15)
MeiLing: 15 × (7 + 38)
Are the students’ expressions equivalent to your answer in Problem 4? Explain your answer.

Answer: 5;6

Step-by-step explanation:

10 divided by 2 is 5

12 divided by 2 is 6 and plus I got this answer correct

Equivalent ratios are ratios that hold the same value.

[tex]\mathbf{(c)\ 5 : 6\ and\ 20 : 24}[/tex] are equivalent to 10:12

The ratio is given as:

[tex]\mathbf{Ratio = 10 : 12}[/tex]

Divide by 2

[tex]\mathbf{Ratio = 5 : 6}[/tex]

This means that, the two ratios to look out for must have the same value as 5 : 6.

From the list of options, we have:

[tex]\mathbf{(c)\ 5 : 6\ and\ 20 : 24}[/tex]

Divide 20 and 24 by 4

[tex]\mathbf{(c)\ 5 : 6\ and\ 5 : 6}[/tex]

Hence, [tex]\mathbf{(c)\ 5 : 6\ and\ 20 : 24}[/tex] are equivalent to 10:12

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Answer:

Step-by-step explanation:

We create a table of all numbers from 200 to 300.

Look at the picture (#1).

We cross out all even numbers (#2).

We find the first number divisible by 3 (201) and cross out every third number (#3).

We continue this way (numbers divisible by 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41,...).

In your task, it is enough until 17.

Answer and Step-by-step explanation:

Good Day Mate!

The prime numbers from [tex]200[/tex] to [tex]300[/tex] are : [tex]211, 223, 227, 229, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293[/tex]

There are about 14 prime numbers from 200 to 300!

In mathematics, a ratio is the correct term to fill in the blank. It's a division-based comparison of two quantities, such as 4 apples to 2 oranges being a 2:1 ratio, indicating two apples for every orange

A ratio is a comparison of two quantities by division. For example, if you have 4 apples and 2 oranges, the ratio of apples to oranges is 4/2 or 2:1. This means you have two apples for every one orange. Therefore, a ratio is described as a fraction or a division that reveals.

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Answer:

14107 sold in Wyoming

Step-by-step explanation:

98749 / 7

Final answer:

To find out how many keyboards are sold in Wyoming when the number sold in California is given, divide the California sales by 7. Resulting in 14,107 keyboards sold in Wyoming

Explanation:

Mathematics:

The average number of electronic keyboards sold in California each year is seven times the average number sold yearly in Wyoming. If 98,749 keyboards are sold in California, you can find out how many are sold in Wyoming by dividing the number sold in California by 7.

Step-by-step explanation:

98,749 keyboards sold in California / 7 = Number of keyboards sold in Wyoming

98,749 / 7 =   14,107 keyboards sold in Wyoming

[tex]\text{Hello there!}\\\\\text{Solve for n:}\\\\-58= -2(5n + 4)\\\\\text{Distribute the-2 to the numbers in the parenthesis}\\\\-58= -10n -8\\\\\text{Add 8 to both sides}\\\\-50=-10n\\\\\text{Divide both sides by -10}\\\\\large\boxed{5=n}[/tex]

Answer:

The answer is A

Step-by-step explanation:

Answer: The correct Answer Is A BC<MN

Step-by-step explanation:

Answer:

x=y-4

Step-by-step explanation:

y=x+4

-4

y-4=x

Answer:

Option A.

Step-by-step explanation:

y = x + 4

As we know if we perform a similar operation on both the sides of the equation it doesn't affect the parent equation.

So we subtract 4 on both sides of the equation

y - 4 = (x + 4) - 4

x = y - 4

Therefore, option A. will be the answer.

Answer:

24 plus 18 plus 2 plus 4 plus three

Answer:

No

Step-by-step explanation:

His work is NOT correct. Please use the picture above ^^

Answer:

Step-by-step explanation:

Answer:

Yes, Josh's work is correct.  

Explanation:

He is multiplying the place value of each digit by nine and then adding the products.

9 × 2 hundreds = 18 hundreds

9 × 3 tens = 27 tens

9 × 9 ones = 81 ones

The diagram below shows how the place values line up.

Answer:

Mean and the Median are equivalent.

Step-by-step explanation:

The median = the middle number = 6.

The mean  = (4+5+6+7+8) / 5

=  30/5

= 6.

There us no mode.

Answer:

The range of the numbers make this true is (12 , 17)

Step-by-step explanation:

Lets explain how to solve the problem

The statement is:

→ Nine less than a number is between 3 and 8

Assume that the number is x

∵ The number is x

∴ Nine less than a umber is x - 9

→ The difference is between 3 and 8

∴ 3 < x - 9 < 8

∴ Nine less than a number is between 3 and 8 ≡≡≡ 3 < x - 9 < 8

Lets solve the inequality to find the range of x

∵ 3 < x - 9 < 8

Add 9 to each side

∴ 3 + 9 < x - 9 + 9 < 8 + 9

∴ 12 < x < 17

∵ There is no mention about the type of the number that is integer or

   rational number or real number

∴ The range of x is any number between 12 and 17

The range of the numbers make this true is (12 , 17)

Remember you can use any number between 12 and 17 but you

cannot use 12 or 17

The range of numbers that make this true is (12, 17).

Let the numbers be represented by x.

Therefore, based on the information given, the number will be:

x - 9 = 3

x = 3 + 9

x = 12

The first number is 12.

x - 9 = 8.

x = 8 + 9

x = 17

Therefore, the range of numbers that make this true is (12, 17).

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Answer:

the other part = 72 = 4*18

18+72 =90

The splitted values of a and b based on the conditions given in the question are :

Let the two parts be a and b

Hence,

From (1) :

Therefore ; From (1) :

Therefore, the two parts of a and b are 18 and 72 respectively.

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Answer:

$60 - $104

Step-by-step explanation:

Based on what we know, we double $30 and double $52 which gives us $60 and $104. As we don't know the exact number we need to double we do that. This tells us that Daniela saved between $60 - $104.

If Julian saved between $ 30 and $ 52 over the summer. The inequality represents the amount of money Daniela saved which will be $ 60 < n < $ 104.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

For the inequality, we have to apply the arithmetic operation in which we do the multiplication of x and apply the inequality for the given data.

It is given that,n represents the amount of money and Julian saved between $ 30 and $ 52 over the summer.

The inequality represents the amount saved by Julian is,

$ 30<n<$ 52

If Daniela saved twice as much then he saved the amount between $ 60 and $ 104.If n shows the inequality for the amount Daniela saved then the inequality is shown as,

$ 60<x<$ 104

Thus, if Julian saved between $ 30 and $ 52 over the summer. The inequality represents the amount of money Daniela saved which will be $ 60 < n < $ 104.

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Answer:

x=4

Step-by-step explanation:

"A number" can be rewritten as X:

6x=3x+12

1) subtract 3x on both sides:

3x=12

2) divide both sides by 3:

x=4

Answer:

(5, 2), (14, -7), (5, -16), (-4, -7)

Step-by-step explanation:

There is an infinite number of possibilities. However, I suspect "they" are thinking of integral coordinates and equally spaced points.

In that case, you could move up nine units to (5, 2).

This puts eight points between A and B. I have numbered them in the diagram below.

Any point on a circle with radius 9 and centred at (5, -7) is 9 units from A, but only these four points have integral coordinates for themselves and for the points in between:

     Up from A:   (5, 2)

  To the right: (14, -7)

Down from A:   (5, -16)

     To the left: (-4, -7)

Answer: See attached graph

The group set out to make sure woman knew how to use their votes wisely is NWSA

The National Woman Suffrage Association (NWSA) was formed on May 15, 1869, to work for women's suffrage in the United States. Its main leaders were Susan B. Anthony and Elizabeth Cady Stanton.

Given is to find out which group set out to make sure woman knew how to use their votes wisely.

The NWSA wanted a constitutional amendment to secure the vote for women, but it also supported a variety of reforms that aimed to make women equal members of society.

Therefore, the group set out to make sure woman knew how to use their votes wisely is NWSA.

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Answer:

D. 69 in.²

Step-by-step explanation:

[tex] {a}^{2} + 2a \sqrt{\frac{ {a}^{2}}{4} + {h}^{2}} = S. A. [/tex]

[tex] {3}^{2} + 2(3) \sqrt{ \frac{9}{4} + (10)^{2}} = 9 + 6[(1\frac{1}{2}) + 10] = 9 + 69 = 78 \\ \\ 78 ≈ 69[/tex]

So, what happened here was that whenever you have squares under the radical, you undo the square root, causing the radical to vanish, so with that, you have your answer.

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Answer:

x = 60

Step-by-step explanation:

Combine like terms on the left side of the equation: 2x + x = 3x; -1 + 1 = 0 so the total for the left side is just 3x. Now compare it to the full equation that you have left now, 3x = 180 now do 180/3 = 60

Hope this helps!

Answer:

[tex]15 + 40g[/tex]

Step-by-step explanation:

Use the Distributive Property to figure this out:

[tex]5(8g + 5 - 2) \\ 40g + 5(5 - 2) \\ 40g + 5(3) \\ \\ 40g + 15[/tex]

* The above answer is written in reverse, which is the exact same result.

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Answer:

once

Step-by-step explanation:

since the equation is liner, with x simply to the first power, it will only cross the x axis once. x^2 would cross the x axis twice, x^3 would cross it three times, and so on

Given quadratic function [tex]y = 2x^{2} +7x+6[/tex] intersects the x-axis two times.

" Quadratic function is defined as the function which has variables with highest degree two."

According to the question,

Given quadratic function,

[tex]y = 2x^{2} +7x+6[/tex]

If quadratic function intersect x-axis value of [tex]y=0[/tex] we have,

[tex]2x^{2} +7x+6 =0\\\\\implies 2x^{2} + 4x+3x + 6=0\\ \\\implies 2x(x+2) + 3(x+2)=0\\\\\implies (2x+3) (x+2)=0\\\\\implies 2x+3 =0 \ or \ x+2=0\\\\\implies x = \frac{-3}{2} \ or \ x =-2\\\\\implies x = -1.5 \ or \ x =-2[/tex]

As shown in graph , quadratic function intersect x-axis at two points [tex](-2,0)[/tex] and [tex](-1.5,0)[/tex].

Hence, given quadratic function [tex]y = 2x^{2} +7x+6[/tex] intersects the x-axis two times.

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To find the possible lengths of the garden, use the perimeter formula and solve the inequality x <= 27 ft.

To find the possible lengths of your garden, you need to determine the perimeter of the garden. Since you have at most 54 ft of fence, the perimeter must be less than or equal to 54 ft.

Let's assume the length of your garden is 'x', then the width would be (54 - 2x)/2.

The perimeter formula is P = 2L + 2W, so substituting the values we have, 2x + 2[(54 - 2x)/2] <= 54.

Simplifying this inequality, we get x + 54 - 2x <= 54. Solving for 'x', we get x <= 27.

Therefore, the possible lengths of your garden are any value less than or equal to 27 ft.

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Answer:

The first one and the second one. Square root of 9 plus the square root of 7, and 10 plus Pi.

Step-by-step explanation:

Answer:

N(p) = 22 + 10p

In graphing the function, N(p) = 22 + 10p

would be the slope and 10;

and 22 would be the y-intercept.

Step-by-step explanation:

Let p represents the number of transactions.

Each transaction is worth 10 points, then p transactions are worth 10p points.

Customers automatically earn 22 points when they sign up.

The total amount of points is

N(p) = 22 + 10p

In graphing the function, N(p) = 22 + 10p

would be the slope and 10;

and 22 would be the y-intercept.

The length of Rectangle is 81 feet's.

We have a rectangle which has a length of 27 feet less than nine times its width and the area of the rectangle is 972.

We have the length of the rectangle.

The Area of a Rectangle = A = L x B

The Perimeter of a Rectangle = P = 2(L + B)

According to the question, we have -

Area = 972 square feet's.

Let the length of rectangle be x and width be y.

Then -

x = 9y - 27

Now -

Area = 972

xy = 972

y(9y - 27) = 972

9y(y - 3) = 972

y(y - 3) = 108

[tex]$y^{2} -3y -108 = 0[/tex]

(y - 12)(y + 9) = 0

y - 12 = 0       or        y + 9 = 0

y = 12             or         y = - 9

But width cannot be negative. Therefore -

y = 12.

Now, length = x = 9y - 27 = 12 x 9 - 27 = 108 - 27 = 81.

Hence, the length is 81 feet's.

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